An open top box is made from a rectangular piece of cardboard, whose length is twice the width, by cutting a 3 in square from each corner and folding up the remaining sides. The area of the bottom of the box is 140 inches squared. What is the width?

Answers

Answer 1

Answer:

Width = 13 inch

Step-by-step explanation:

Assume;

Width = x

Length = 2(width) = 2x

Cut 3 inch from each corner:

Width = x-3-3 = x - 6

Length = = 2x-3-3 = 2x - 6

Area of rectangle = lb

Area of rectangle = [length][width]

Area of rectangle = (2x - 6)(x - 6)

Area of rectangle = (2x - 6)(x - 6)

140 = 2x² - 12x - 6x + 36

2x² - 18x - 104

x² - 9x - 52

x² - (13-4)x - 52

x² - 13x + 4x -52

x(x-13)+4(x-13)

(x-13)(x+4)

So,

x = 13 or x = 4

Width = 13 inch


Related Questions

A bank has a savings rate of 6% simple interest per year. If a customer deposited $4,000 in a new account and does not add or withdraw any money to the account, how much simple interest will the customer make in 4 months?

Answers

Answer: The customer will make $80 as interest in 4 months.

Step-by-step explanation:

Given: Deposited amount : P = $4000

Rate of interest per year : r= 6% =0.06

Rate of interest monthly = [tex]\dfrac{r}{12}=\dfrac{0.06}{12}=0.005[/tex]

Time = 4 months

Simple interest = principal x rate of  interest x time

[tex]=4000\times 0.005\times 4=80[/tex]

hence, the customer will make $80 as interest in 4 months.

You take care of 2 animals, lions and peacocks. Lions eat meat and peacocks eat seed. You have 10 pounds of meat and 5 pounds of seed to split as evenly as possible between 2 weeks. Use an inequality to explain how the animals can survive through 2 weeks. I'm mainly confused about how to split the food in 2 weeks.

Answers

Answer:

Step-by-step explanation:

Since no information is given how much an animal will consume per day so we will suppose that each animal will have at least two meals per day so in two weeks which is 14 days will have 28 meals in it so we will make an equality that

Let X be the amount they consume in each meal

for lion

[tex]28*X \leq 10[/tex]

which will give us 0.375 ponds each meal for the lion

similarly for the peacock

[tex]28*X\leq 5[/tex]

that gives us 0.1785 ponds of seed each meal

we can also make the meals once a day and in 14 days we can make 14 meals and in that case the meal will be

for lion it will be 0.750 pounds

for peacock it will be 0.375

which of the following would produce a larger image ?
a.2/3
b.1 1/2
c.1/2
d.1/2

Answers

Answer:

1 1/2

Step-by-step explanation:

What is the Area, in Square Inch's of this figure PLEASE HELP I WANT TO SLEEP

Answers

Answer:

60

Step-by-step explanation:

This shape can be divided into a rectangle and a right triangle.

rectangle: l x w = 8 x 6 = 48

triangle: .5bh = .5 x (12-8) x 6 = 12

48 + 12 = 60 square units

hope this helped!

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

1 is the correct answer

Which line is the correct graph to: y = -2x - 4*
PLEASE ITS URGENT

Answers

Answer:

The answer should be line B!^^

Have a great day/night, let me know it that was right or not!

these are all of my points PLZZZZZZZ HURRRRRRY PLZZZZZZZZ FIRST ONEE TO ANSWER GETS BRAINLIEST The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship between the mass and volume of the pieces of metal. Determine the mass, in grams, of a piece of metal that has a volume of 18.5 cubic centimeters.

Answers

Answer:

11.7

Step-by-step explanation:

1111111938338388383828

Answer:

157.62

Step-by-step explanation:

I took the mass(g) of 34.932 and divided it by the volume of 4.1

[tex]\frac{34.932}{4.1} =8.52[/tex]

To prove that this was correct I did the same thing for the next row

[tex]\frac{47.712}{5.6} =8.52[/tex]

I took 8.52 and multiplied it by the volume of 18.5 to get the mass.

[tex]8.52*18.5=157.62[/tex]

The mass is 157.62

hope this helps! :))

3.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.523.52

Answers

Answer:

the mug is this

Alicia is training for a race. She swims 1/4 lap in 2/3 of a minute. At that
rate, how many minutes does it take Alicia to swim each lap?

Answers

Answer:

2.66667 minutes

Step-by-step explanation:

2/3 of a minute is 40 so 40s times 4 equals 160s

Can someone help me with this???

Answers

Answer:

x= 1/2

Step-by-step explanation:

Can someone help me solve this and please show work

Answers

Answer:

a.70°

b.125°

c.125°

Step-by-step explanation:

ans respctively a,b,and c

x/8+3=12 what is the answer to this question​

Answers

Answer:

x= 72

Step-by-step explanation:

(a)
Complete the following statement. Use the integers that are closest to the number in the middle.
11<


Answers

Answer:

Im sorry but i cant help.

Step-by-step explanation:

But u can use the calculator for the name of the work ur doing...on Google.

Simplify 1/2 (2a+4) please

Answers

Answer:

a+2

Step-by-step explanation:

The simplification of the expression 1/2 (2a+4) is a+2. The correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 1/2 (2a+4). The expression will be solved as below,

E = 1/2 (2a+4)

E = (2a / 2 ) + ( 4 / 2 )

E = a + 2

Therefore, the simplification of the expression 1/2 (2a+4) is a+2. The correct option is B.

To know more about an expression follow

https://brainly.com/question/17169985

#SPJ2

Which equation is equivalent to 2x + 40 = 10?

Answers

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Please help me with this!!!!!!

Answers

Answer:

63-$+

Step-by-step explanation:

g lpreeeeeeeee3eeeere

Pleasee help me with my Math is important and I need help

Answers

Answer:

aint no way im answering all of those

kid just put them in y=mx+b form by isolating the y

Step-by-step explanation:

i'll do #19 for ya

y-4 = 3(x-2)

3(x-2) turns into 3x-6 when u distribute it

y-4 = 3x-6

isolate the y by adding 4 on both sides

y=3x-2

there ~ it's in slope intercept form

Answer:

19. Y = 3x - 2

20. Y = -x - 6

21. Y = -2x + 2

22. Y = -5x + 14

23. Y = 6x - 3

24. Y = 3x + 23

25. Y = 1/2x + 5

26. Y = 1/3x + 2

27. Y = x + 1

Select all the correct statements about the fractional equation (x/x-1) - (3/x) = 1/x-1

Only x=3 is a solution
Both x=3 and x=1 are solutions
Only x=1 is and extraneous root
Only x=3 is an extraneous root

Answers

Answer: only x=3 is a solution and only x=1 is an extraneous root

For the given expression (x/x-1) - (3/x) = 1/x-1 both x=3 and x=1 are solutions. The correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is  (x/x-1) - (3/x) = 1/x-1. Check the solution of the expression,

(x/x-1) - (3/x) = 1/x-1

( 3 / 3 - 1 ) - ( 3 / 3 ) = 1 ( 3 - 1 )

( 3 / 2 - 1 ) = 1 / 2

1 / 2 = 1/2

For x = 1 the value is the same.

Therefore, both 3 and 1 are solutions to the given formula (x/x-1) - (3/x) = 1/x-1.

To know more about an expression follow

https://brainly.com/question/6241556

#SPJ2


HELP PLZ NO ONE WANTS TO HELP MR PLZ HELP DUE IN 15 MINUTES

Answers

Answer:

no its not a function

Step-by-step explanation:

Answer:

It is not a 1 to one function

PLZ HELP ME ILL GIVE BRAINLEST!!!

Answers

Answer:

C has no slope

Step-by-step explanation:

PLEASE ANSWER ASAP!! THIS IS DUE RLLY SOON :)

Answers

I think the answer is the first one

Write an equation in slope-intercept form for the line that passes through the given point.

(3, -3) slope 3

Answers

Answer:

y=3x-12

Step-by-step explanation:

(01.01 MC)Why is 3 + (−5) equal to −2? Because it is 5 units to the left of 0 on a horizontal number line Because it is 5 units to the right of 3 on a horizontal number line Because it is 5 units to the left of 3 on a horizontal number line Because it is 5 units to the right of 0 on a horizontal number line

Answers

Answer:

C. Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

Directed numbers are numbers which has direction i.e either a negative or positive sign before it. This implies that all numbers are directed, since a number without a sign is taken to be positive.

Thus from the given expression,

3 + (-5) = 3 - 5

           = -2

So that,

3 + (-5) = -2

Expressing this on the number line, -2 is 5 units to the left of 3. Thus option C is appropriate.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.

Answers

Answer:

The probability mass function of X is:

[tex]p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n[/tex]

Step-by-step explanation:

A Binomial experiment has the following properties:

• There are a fixed number of trials (n).

• Each trial are independent of the others.

• Each trial has only two outcomes: Success and Failure

• Each trial has the same probability of success (p).

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

Then the probability mass function of X is known as binomial probability distribution.

The probability mass function of X is:

[tex]p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n[/tex]

6 times the sum of a number x and 5 is y.

HELPPPPPP

Answers

Answer: 6(x+5)=y

Step-by-step explanation: This is because to represent two different factors (in this case, addition and multiplcation.), it is easier to put parenthesis around a part of that expression.

Find the value of x in the triangle shown below

X= ??

Answers

Answer:

93

Step-by-step explanation:

add 56+31 which give you 87

subtract 87 from 180 (180-87)

and you get 93 for x

Answer:

93

Step-by-step explanation:

56+31=87

180-87=93

What's 0.32*10^-12 in scientific notation ​

Answers

Answer:

3.2 × 10^-13

Step-by-step explanation:

Can someone show me how to do it step by step solving for x,y and z

Answers

Z is 25, x is 74, and y is 37

Step-by-step explanation:

X+106=180 [(being cointerial angle]

or, X=180-106

or,X=74

therefore,X=74

2y=X=74[being corresponding angle]

X+(4z+6)=180[being exterior cointerior angle]

or, 74+6+4z=180

or,4z=180-80

or,4z=100

or,z=100/4

or,z=25

Measure the length of 2 peoples feet and their forearms. Help i need quickly so i can create a math equation. Measurements must be in inches.

Answers

Answer:1+1=2

yfgvhuwytfuyio

Step-by-step explanation:

Answer:

Dang, you said that you use brainly only to help people and that you don't ask questions :/

Step-by-step explanation:

Chandra has a ladder that is 20 feet long. If the top of the ladder reaches 16 feet up the side of a building, how far from the building is the base of the ladder?
(use Pythagorean Theorem)

Answers

Answer:

12 feet

Step-by-step explanation:

when you have c (the hypotenuse) and a (the opposite side) but you need to find b (the base) you have to flip around the theorm from a^2 + b^2 = c^2 to c^2 - a^2 = b^2.

then you plug in your numbers: 20^2 - 16^2 = b^2

then you solve the exponents: 400 - 256 = b^2

and subtract: 144 = b^2

lastly you square root both sides to get your answer: 12 = b

hope this helped :))

Other Questions
which of the following sentence uses the correct verb tense Mario__triste?estaestestestn True or False: The voyages of Columbus helped fuel exploration andexploitation in the new world? I need help with this. One barrier to problem solving is the tendency to impose constraints that dont exist.T/F Factor the polynomial by its greatest common monomial factor.6x2 + 8x2-4x Which private communities can promote healthy nutrition and physical fitness? Select three options.state schoolsfamilieschurchessynagogueslocal governments whats the answer to 4/10+2/100? A measurement must have a ________________ and ___________________ to be concerned correct. identify the following words as either a phrase or a clause "we gathered data" phrase or clause 30 juice boxes in 3 cartons= juices percartons Who originally argued people could create a government to protect their natural/unalienable rights? (life, liberty, and the pursuit ofproperty/happiness)A.) John SmithB.) Thomas JeffersonC.) John Locke At -15C, water is a:solid,liquid,gas What is Five less than twice a number2w - 5or 5 - 2w AB Builders, Inc., has 24-year bonds outstanding with a par value of $2,000 and a quoted price of 97.842. The bonds pay interest semiannually and have a yield to maturity of 6.80 percent. What is the coupon rate Colin wants to make purple paint. He findsa graph online that shows how much redand blue paint he should use to make the shade of purple he wants. a. What is the slope of the line?Show your work. In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. The law is represented with the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Select all the equations that are equivalent to the formula PV = nRT. Group of answer choices A. P = VnRT B. R = PVnT C. V = nRT / P D. n = PV / RT E. T = nR / PV Also Theres Another Question The temperature in degrees Kelvin is 273 degrees less than the temperature in degrees Celsius. Use the formula C = 5/9(F - 32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K. A. F = 9/5(K - 273) - 32 B. F = 5/9(K + 273) + 32 C. F = 9/5C + 32 D. F = 9/5(K + 273) + 32 Also Please Answer My other Question I posted Which of the following choices best reflects the real world issue in "Get Up and Lock the Door"?AresponsibilityBlazinessCstubbornessDviolence A car travels a distance of 200 meters in 10 seconds. What is the average speed of the car? A store sells ripe by a meter. The equation p = 1.5l represents the price p ( in dollars ) of a piece of nylon rope that is l metered long. How much does the nylon rope cost